A study considered if he proportion of the public who heve \"no opinion\' on a p
ID: 3257343 • Letter: A
Question
A study considered if he proportion of the public who heve "no opinion' on a political issue has changed over the years. Here is a regression for the proportion of those respondents whose response to this particular issue was "no opinion." Assume that the conditions for inference are satisfied and that the response variable is the proportion responding No Opinion. Use the output to complete parts a through c below Click the icon to view the scatterplot and regression analysis. a) Slale hypo eses about the slope Ho. There is change in the proportion of people responding with "no opinion HA: There is change in the proportion of people responding with no opinion b) Assuming that the conditions tor interence are satisfied, pertorm the hypothesis 1est and state your conclusion Assume 0.05. Identify the test statistic. t Typc an intcgor or a docimal. Do not round Identry the P-value p-value ype an integer or a de Do not round) State your conclusion in context Choose the correct answer below. O A. Reject the null hypothesis. There is insufficient evidence to conclude that the proportion of people responding with "no opinion has changed. O B. Do not reject the null hypothesis. There is sufficient evidence to conclude that the proportion ofpeople responding with "no opinion" has changed O C. Do not reject the null hypothesis. There is insufficient evidence to conclude that the proportion of people responding with "no opinion" hes changed. O D. Reject the mull hypothesis. There is sufficient evidence to conclude that he proportion of people responding with "no opinion' has changedExplanation / Answer
Ans (a) H0 ; there is no change in proportion of people responding with no opinion
HA;there is significant chane in proportion of people responding with no opinion
(b) if inferencial condition is satisfied then
t-calculated through output is =-.94 and p-value is 0.3634
aand conclusion is that here we se that calculated p value is greater than assumed 0.05 then we accet Ho and conclude that there is no change in opinion and option (b) is correct
(C) option (A)
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